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SomeL 1 existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions
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Copyright Page
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INTRODUCTION
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MAIN APPLICATIONS
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PRELIMINARIES AND BASIC ESTIMATES
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BASIC EXAMPLES
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THE DIRICHLET PROBLEM I. WEAK SOLUTIONS
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THE DIRICHLET PROBLEM II. LIMIT SOLUTIONS, VERY WEAK SOLUTIONS AND SOME OTHER VARIANTS
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CONTINUITY OF LOCAL SOLUTIONS
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THE DIRICHLET PROBLEM III. STRONG SOLUTIONS
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THE CAUCHY PROBLEM. L1-THEORY
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THE PME AS AN ABSTRACT EVOLUTION EQUATION. SEMIGROUP APPROACH
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THE NEUMANN PROBLEM AND PROBLEMS ON MANIFOLDS
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THE CAUCHY PROBLEM WITH GROWING INITIAL DATA
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OPTIMAL EXISTENCE THEORY FOR NON-NEGATIVE SOLUTIONS
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PROPAGATION PROPERTIES
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ONE-DIMENSIONAL THEORY. REGULARITY AND INTERFACES
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FULL ANALYSIS OF SELF-SIMILARITY
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TECHNIQUES OF SYMMETRIZATION AND CONCENTRATION
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ASYMPTOTIC BEHAVIOUR I. THE CAUCHY PROBLEM
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REGULARITY AND FINER ASYMPTOTICS IN SEVERAL DIMENSIONS
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ASYMPTOTIC BEHAVIOUR II. DIRICHLET AND NEUMANN PROBLEMS
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FURTHER APPLICATIONS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.005.0001openalex-snapshot
BASIC FACTS
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A Degenerate Stefan-Like Problem with Joule’s Heating
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Well-Posedness and Convergence to the Steady State for a Model of Morphogen Transport
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Theoretical and Numerical Results on the Two-Phase Stefan Problem
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Optimal Rates of Convergence for Degenerate Parabolic Problems in Two Dimensions
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On the Competitive Harvesting of Marine Resources
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Existence and Incompressible Limit of a Tissue Growth Model with Autophagy
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Elliptic-Parabolic Equations with Hysteresis Boundary Conditions
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ENTROPY SOLUTIONS IN THE STUDY OF ANTIPLANE SHEAR DEFORMATIONS FOR ELASTIC SOLIDS
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UNIQUENESS AND COLLAPSE OF SOLUTION FOR A MATHEMATICAL MODEL WITH NONLOCAL TERMS ARISING IN GLACIOLOGY
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OBSTACLE PROBLEMS FOR DEGENERATE ELLIPTIC EQUATIONS WITH NONHOMOGENEOUS NONLINEAR BOUNDARY CONDITIONS
inferred← citeshttps://doi.org/10.1142/s0218202510004866openalex-snapshot
MATHEMATICAL MODELS OF RECEPTOR-MEDIATED TRANSPORT OF MORPHOGENS
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A necessary and sufficient condition for global existence for a quasilinear reaction‐diffusion system
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Anisotropic nonlinear diffusion with absorption: existence and extinction
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Pointwise Gradient Estimates in Multi-dimensional Slow Diffusion Equations with a Singular Quenching Term
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Degenerate Elliptic Equations with Nonlinear Boundary Conditions and Measures Data
inferred← citeshttps://doi.org/10.3934/dcds.2014.34.761openalex-snapshot
Semi-linear elliptic and elliptic-parabolic equations with Wentzell boundary conditions and $L^1$-data
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Energy solutions of the Cauchy-Neumann problem for porous medium equations
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A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions
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New applications of monotonicity methods to a class of non-monotone parabolic quasilinear sub-homogeneous problems
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Localized large reaction for a non-linear reaction-diffusion system
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The Stefan problem with convection and Joule's heating
inferred← citeshttps://doi.org/10.57262/die/1356060869openalex-snapshot
The mesa-limit of the porous-medium equation and the Hele-Shaw problem
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Large-time behavior of solutions of a system of PDE's governing diffusion processes in a heterogeneous medium
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Neumann problems for a class of nonlinear degenerate parabolic equations
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